Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903048 | Discrete Mathematics | 2018 | 17 Pages |
Abstract
For any odd prime p, negacyclic codes of length 4ps over the finite commutative chain ring Fpm+uFpm are investigated. The algebraic structures of such codes are classified and completely determined. As an application, the number of codewords and the dual of each negacyclic code are obtained. Simpler structure of cyclic codes of length 4ps over Fpm+uFpm is also noted. Among others, some self-dual negacyclic and cyclic codes of length 4ps over Fpm+uFpm are provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Hai Q. Dinh, Bac T. Nguyen, Songsak Sriboonchitta,